%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SWV394+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Wed Jul 20 21:42:38 EDT 2022 % Result : Theorem 222.64s 222.84s % Output : Refutation 222.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWV394+1 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.12 % Command : run_spass %d %s % 0.12/0.33 % Computer : n020.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Wed Jun 15 11:02:49 EDT 2022 % 0.12/0.33 % CPUTime : % 222.64/222.84 % 222.64/222.84 SPASS V 3.9 % 222.64/222.84 SPASS beiseite: Proof found. % 222.64/222.84 % SZS status Theorem % 222.64/222.84 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 222.64/222.84 SPASS derived 41319 clauses, backtracked 374 clauses, performed 4 splits and kept 20272 clauses. % 222.64/222.84 SPASS allocated 145280 KBytes. % 222.64/222.84 SPASS spent 0:3:41.20 on the problem. % 222.64/222.84 0:00:00.03 for the input. % 222.64/222.84 0:00:00.04 for the FLOTTER CNF translation. % 222.64/222.84 0:00:01.23 for inferences. % 222.64/222.84 0:00:00.22 for the backtracking. % 222.64/222.84 0:3:39.13 for the reduction. % 222.64/222.84 % 222.64/222.84 % 222.64/222.84 Here is a proof with depth 3, length 28 : % 222.64/222.84 % SZS output start Refutation % 222.64/222.84 5[0:Inp] || -> pair_in_list(skc5,skc6,skc9)*. % 222.64/222.84 6[0:Inp] || less_than(skc9,skc6)*l -> . % 222.64/222.84 13[0:Inp] || -> less_than(u,v)* less_than(v,u)*. % 222.64/222.84 15[0:Inp] || ok(triple(u,v,bad))* -> . % 222.64/222.84 16[0:Inp] || -> check_cpq(remove_cpq(triple(skc8,skc5,skc7),skc6))*. % 222.64/222.84 17[0:Inp] || -> ok(remove_cpq(triple(skc8,skc5,skc7),skc6))*. % 222.64/222.84 29[0:Inp] || less_than(u,v) -> less_than(v,u) strictly_less_than(u,v)*. % 222.64/222.84 39[0:Inp] || check_cpq(triple(u,v,w))*+ pair_in_list(v,x,y)* -> less_than(y,x). % 222.64/222.84 42[0:Inp] || -> contains_slb(u,v) equal(remove_cpq(triple(w,u,x),v),triple(w,u,bad))**. % 222.64/222.84 54[0:Inp] || ok(remove_cpq(triple(u,v,w),x))*+ strictly_less_than(x,y) pair_in_list(v,x,y) -> pair_in_list(remove_slb(v,x),x,y)*. % 222.64/222.84 55[0:Inp] || contains_slb(u,v) strictly_less_than(v,lookup_slb(u,v)) -> equal(remove_cpq(triple(w,u,x),v),triple(remove_pqp(w,v),remove_slb(u,v),bad))*. % 222.64/222.84 56[0:Inp] || contains_slb(u,v) less_than(lookup_slb(u,v),v) -> equal(triple(remove_pqp(w,v),remove_slb(u,v),x),remove_cpq(triple(w,u,x),v))**. % 222.64/222.84 62[0:MRR:29.0,13.0] || -> strictly_less_than(u,v)* less_than(v,u). % 222.64/222.84 65[0:Res:5.0,54.1] || ok(remove_cpq(triple(u,skc5,v),skc6))* strictly_less_than(skc6,skc9) -> pair_in_list(remove_slb(skc5,skc6),skc6,skc9). % 222.64/222.84 69[0:Res:62.0,6.0] || -> strictly_less_than(skc6,skc9)*. % 222.64/222.84 72[0:Res:39.2,6.0] || check_cpq(triple(u,v,w))* pair_in_list(v,skc6,skc9) -> . % 222.64/222.84 74[0:MRR:65.1,69.0] || ok(remove_cpq(triple(u,skc5,v),skc6))* -> pair_in_list(remove_slb(skc5,skc6),skc6,skc9). % 222.64/222.84 77[0:Res:17.0,74.0] || -> pair_in_list(remove_slb(skc5,skc6),skc6,skc9)*. % 222.64/222.84 133[0:SpR:42.1,17.0] || -> contains_slb(skc5,skc6) ok(triple(skc8,skc5,bad))*. % 222.64/222.84 139[0:MRR:133.1,15.0] || -> contains_slb(skc5,skc6)*. % 222.64/222.84 651[0:SpL:55.2,15.0] || contains_slb(u,v) strictly_less_than(v,lookup_slb(u,v))* ok(remove_cpq(triple(w,u,x),v))*+ -> . % 222.64/222.84 742[0:Res:17.0,651.2] || contains_slb(skc5,skc6) strictly_less_than(skc6,lookup_slb(skc5,skc6))* -> . % 222.64/222.84 743[0:MRR:742.0,139.0] || strictly_less_than(skc6,lookup_slb(skc5,skc6))* -> . % 222.64/222.84 778[0:SpL:56.2,72.0] || contains_slb(u,v) less_than(lookup_slb(u,v),v) check_cpq(remove_cpq(triple(w,u,x),v))* pair_in_list(remove_slb(u,v),skc6,skc9) -> . % 222.64/222.84 796[0:Res:62.0,743.0] || -> less_than(lookup_slb(skc5,skc6),skc6)*l. % 222.64/222.84 48422[0:Res:16.0,778.2] || contains_slb(skc5,skc6) less_than(lookup_slb(skc5,skc6),skc6) pair_in_list(remove_slb(skc5,skc6),skc6,skc9)* -> . % 222.64/222.84 48444[0:MRR:48422.0,48422.2,139.0,77.0] || less_than(lookup_slb(skc5,skc6),skc6)*l -> . % 222.64/222.84 48445[0:MRR:48444.0,796.0] || -> . % 222.64/222.84 % SZS output end Refutation % 222.64/222.84 Formulae used in the proof : l30_co totality ax40 stricly_smaller_definition l30_li4142 reflexivity transitivity ax43 l30_li3132 ax45 ax44 % 222.64/222.84 %------------------------------------------------------------------------------